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Floating Point Unit
Floating point numbers are typically stored as numbers in scientific notation, but in base 2. A certain number of bits represent the mantissa, other bits represent the exponent. - This is a highly simplified explanation; there are several complications in the IEEE floating point format (or other similar formats).Floating point numbers are typically stored as numbers in scientific notation, but in base 2. A certain number of bits represent the mantissa, other bits represent the exponent. - This is a highly simplified explanation; there are several complications in the IEEE floating point format (or other similar formats).Floating point numbers are typically stored as numbers in scientific notation, but in base 2. A certain number of bits represent the mantissa, other bits represent the exponent. - This is a highly simplified explanation; there are several complications in the IEEE floating point format (or other similar formats).Floating point numbers are typically stored as numbers in scientific notation, but in base 2. A certain number of bits represent the mantissa, other bits represent the exponent. - This is a highly simplified explanation; there are several complications in the IEEE floating point format (or other similar formats).
In Computing, Floating Point refers to a method of representing an estimate of a real number in a way which has the ability to support a large range of values.
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That usually refers to a floating-point number that is stored in 8 bytes, and has (in decimal) about 15 significant digits. In contrast, single-precision is stored in 4 bytes, and has only 6-7 significant digits.
In Java, you can use either a float or a double
Floating Point was created in 2007-04.
If your program is looping based on a floating point value, you need to consider that floating point values do not exactly represent the intended decimal value. Any program that makes decisions based on the value of a floating point number must consider truncation error.For instance, 0.110 is 0.00011001100110011...2. Since a floating point register cannot represent an infinite number of bits, this might actually be something else, such as 0.09999999999710, depending on your particular resolution.
It is somewhat complicated (search for the IEEE floating-point representation for more details), but the basic idea is that you have a few bits for the base, and a few bits for the exponent. The numbers are stored in binary, not in decimal, so the base and the exponent are the numbers "a" and "b" in a x 2b.
That depends on the programming language, and on the specific data type. Java, for example, has integers of different sizes; for example, an int uses 4 bytes, and a long uses 8 bytes. It also has shorter integer data types. Java also has different types of floating point numbers; for example, a double uses 8 bytes, and a float uses 4 bytes. Java also has classes for arbitrary-precision math (classes BigInt and BigMath); in this case, the size in memory for a number will vary, depending on the number of digits.That depends on the programming language, and on the specific data type. Java, for example, has integers of different sizes; for example, an int uses 4 bytes, and a long uses 8 bytes. It also has shorter integer data types. Java also has different types of floating point numbers; for example, a double uses 8 bytes, and a float uses 4 bytes. Java also has classes for arbitrary-precision math (classes BigInt and BigMath); in this case, the size in memory for a number will vary, depending on the number of digits.That depends on the programming language, and on the specific data type. Java, for example, has integers of different sizes; for example, an int uses 4 bytes, and a long uses 8 bytes. It also has shorter integer data types. Java also has different types of floating point numbers; for example, a double uses 8 bytes, and a float uses 4 bytes. Java also has classes for arbitrary-precision math (classes BigInt and BigMath); in this case, the size in memory for a number will vary, depending on the number of digits.That depends on the programming language, and on the specific data type. Java, for example, has integers of different sizes; for example, an int uses 4 bytes, and a long uses 8 bytes. It also has shorter integer data types. Java also has different types of floating point numbers; for example, a double uses 8 bytes, and a float uses 4 bytes. Java also has classes for arbitrary-precision math (classes BigInt and BigMath); in this case, the size in memory for a number will vary, depending on the number of digits.
"Floating Point" refers to the decimal point. Since there can be any number of digits before and after the decimal, the point "floats". The floating point unit performs arithmetic operations on decimal numbers.
Fixed point overflow, Floating point overflow, Floating point underflow, etc.